13461104484 has 81 divisors (see below), whose sum is σ = 34703112171. Its totient is φ = 4399554240.

The previous prime is 13461104473. The next prime is 13461104497. The reversal of 13461104484 is 48440116431.

It is a happy number.

The square root of 13461104484 is 116022.

It is a perfect power (a square), and thus also a powerful number.

13461104484 is a `hidden beast` number, since 1 + 34 + 611 + 0 + 4 + 4 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11221164900 + 2239939584 = 105930^2 + 47328^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42463894 + ... + 42464210.

Almost surely, 2^13461104484 is an apocalyptic number.

13461104484 is the 116022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13461104484

13461104484 is an abundant number, since it is smaller than the sum of its proper divisors (21242007687).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13461104484 is an equidigital number, since it uses as much as digits as its factorization.

13461104484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 13461104484 by its sum of digits (36), we get a square (484599761424 = 696132²).

13461104484 divided by its sum of digits (36) gives a square (373919569 = 19337²).

Multiplying 13461104484 by its product of nonzero digits (36864), we get a square (496230155698176 = 22276224²).

The spelling of 13461104484 in words is "thirteen billion, four hundred sixty-one million, one hundred four thousand, four hundred eighty-four".